Question

136° 108°
140° 76°
x=
blank 1:

Explanation:

Step1: Calculate the sum of interior angles

The formula for the sum of interior angles of an \(n -\)sided polygon is \((n - 2)\times180^{\circ}\). For a pentagon (\(n = 5\)), the sum is \((5 - 2)\times180^{\circ}=540^{\circ}\).

Step2: Set up the equation

Let \(x\) be the unknown angle. Then \(x+136^{\circ}+108^{\circ}+140^{\circ}+76^{\circ}=540^{\circ}\).

Step3: Solve for \(x\)

First, add the known angles: \(136 + 108+140 + 76=460\). Then \(x=540 - 460\).

Answer:

\(80^{\circ}\)